Five number summary is a ___.

It is used to measure both ____ ____ and ____.

Central tendency is _____.

Variability is _____.

The center of the data.

The amount of spread or error in the data.

Q1 is called the ____ or _____.

_{Q3 is called the ____ or _____.}

- first quartile or the twenty-fifth percentile

- third quartile or the seventy-fifth percentile.

The Interquartile Range is ____.

The Range is ____.

- is simply the difference in the difference in the third and first quartile vales of the dataset. (IQR=Q₃-Q₁)

- is simply the difference in the maximum and the minimum values of the dataset. (Range=Max-Min)

The Sample Mean is _____.

- is a statistical value that measures central tendency

- is an adjusted sample mean that removes possible extreme observation values from the calculation.

- most common tr is 10%

- k=.10n --round this value up to the nearest integer and remove that many observations from the highest and lowest

The Sample Standard Deviation measures ____.

It represents the ____ in the data set and an _____.

- measures the spread in the dataset (how far apart are the data values)

- represents the diversity in the data set and an estimate of what the population standard deviation (σ) is.

The Coefficient of Variation is a _______.

It is _____, meaning that it has no units.

It allows you to compare datasets 

CV = s/mean

- is a statistical value that measures the spread of the data relative to the size of the numbers.

- dimensionless 

The k th percentile cutoff, P_k is a cutoff value where _____.

- Sort the dataset in ascending order.

- Calculate the value of Q. Q=(nk)/100

-If the value of Q is a ____, round up to the nearest integer and go to the Qth observation

-If the value is an ____, find the average of the Qth and (Q+1)th observations.

- where approximately k% of the data is below this value.

- decimal

-integer

An Outlier is _____.

An Intentional Outlier is ____.

An Unintentional Outlier is ____.

- is a recorded abnormal data value for an observation.

- is due to data entry error or measurement error while conducting the experiment.

is due to recording the value of an observation when he/she/it is not in its natural phenomenon.

The Z-Score Method should be used if you _____.

z = (x-mean)/s

To detect any outliers of a dataset for Z-score:

- calculate the ___ ___ and ___ ___ ____.

- calculate the Z-score value for each observation in the dataset z=(x-mean)/s)

If the Z-score is more than ___ or less then ___, then the observation is a possible outlier

- calculate the sample mean and sample standard deviation.

- +3, -3

To detect any outliers of a data set using IQR:

-calculate the interquartile range (IQR=Q₃-Q₁)

-subtract 1.5*IQR from Q₁ to create a lower boundary (Q₁-1.5 IQR)

-add 1.5*IQR from Q₃ to create an upper boundary (Q₃+1.5IQR)